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5286435 = 3571123199
BaseRepresentation
bin10100001010101000100011
3100221120121220
4110022220203
52323131220
6305150123
762635230
oct24125043
910846556
105286435
112a90860
12192b343
13113128b
149b8787
156e6540
hex50aa23

5286435 has 64 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 2090880.

The previous prime is 5286433. The next prime is 5286451. The reversal of 5286435 is 5346825.

It is not a de Polignac number, because 5286435 - 21 = 5286433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 54 + 216 + 8 + 66 + 42 + 314 + 58 .

It is a junction number, because it is equal to n+sod(n) for n = 5286396 and 5286405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26466 + ... + 26664.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 25286435 is an apocalyptic number.

5286435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5286435 is an abundant number, since it is smaller than the sum of its proper divisors (5772765).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5286435 is a wasteful number, since it uses less digits than its factorization.

5286435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its digits is 28800, while the sum is 33.

The square root of 5286435 is about 2299.2248693853. The cubic root of 5286435 is about 174.2024661294.

The spelling of 5286435 in words is "five million, two hundred eighty-six thousand, four hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 23 33 35 55 69 77 105 115 161 165 199 231 253 345 385 483 597 759 805 995 1155 1265 1393 1771 2189 2415 2985 3795 4179 4577 5313 6567 6965 8855 10945 13731 15323 20895 22885 26565 32039 32835 45969 50347 68655 76615 96117 151041 160195 229845 251735 352429 480585 755205 1057287 1762145 5286435